约束阻尼板增材式拓扑渐进法减振动力学优化
发布时间：2018-08-13 17:55
【摘要】：研究阻尼结构的阻尼材料最优布局问题。基于虚功原理,构建约束阻尼板振动微分方程,从约束阻尼板若干基本假设出发并根据阻尼板自由振动微分方程,推导了结构模态阻尼比表达式。建立了以阻尼单元相对密度为拓扑设计变量,模态阻尼比最大为优化目标,阻尼材料用量为约束的阻尼结构拓扑优化数学模型。以阻尼单元模态阻尼比敏度为寻优方向的依据,采用增材式渐进法(AESO)求解优化模型,并依据拓扑优化准则在结构上不断敷设阻尼材料。编程实现了AESO算法,仿真计算表明:采用AESO优化时,阻尼材料主要敷设于结构的模态应变较大位置,且不会产生棋盘格现象,并且优化后的结构一阶模态阻尼比较优化前可增加83.6%,而常规渐进法带来的增幅仅72.13%。为进一步验证优化效果,还对结构进行了谐响应分析,结果表明采用增材式渐进法优化时,结构可获得更佳减振效果。
[Abstract]:The optimal placement of damping materials for damped structures is studied. Based on the principle of virtual work, the vibration differential equation of constrained damping plate is constructed. Based on some basic assumptions of constrained damping plate and the differential equation of free vibration of damping plate, the expression of modal damping ratio of structure is derived. A topology optimization mathematical model of damping structures with the relative density of damping elements as the topological design variable, the maximum modal damping ratio as the optimization objective and the amount of damping materials as constraints is established. Based on the sensitivity of damping element modal damping ratio, the optimization model is solved by the incremental method (AESO), and the damping material is continuously laid on the structure according to the topological optimization criterion. The AESO algorithm is realized by programming. The simulation results show that the damping material is mainly laid in the large modal strain position of the structure when AESO is used to optimize the structure, and the chessboard lattice phenomenon is not produced. The first order modal damping of the optimized structure can be increased by 83.6 times compared with that before optimization, but the increase of the conventional progressive method is only 72.13%. In order to further verify the optimization effect, the harmonic response analysis of the structure is also carried out. The results show that the structure can obtain better vibration absorption effect when the incremental method of increasing material is used to optimize the structure.
【作者单位】： 南昌航空大学航空制造工程学院;
【基金】：国家自然科学基金项目(51265040)与国家自然科学基金项目(51565039)资助
【分类号】：TB535.1
本文编号：2181746
[Abstract]:The optimal placement of damping materials for damped structures is studied. Based on the principle of virtual work, the vibration differential equation of constrained damping plate is constructed. Based on some basic assumptions of constrained damping plate and the differential equation of free vibration of damping plate, the expression of modal damping ratio of structure is derived. A topology optimization mathematical model of damping structures with the relative density of damping elements as the topological design variable, the maximum modal damping ratio as the optimization objective and the amount of damping materials as constraints is established. Based on the sensitivity of damping element modal damping ratio, the optimization model is solved by the incremental method (AESO), and the damping material is continuously laid on the structure according to the topological optimization criterion. The AESO algorithm is realized by programming. The simulation results show that the damping material is mainly laid in the large modal strain position of the structure when AESO is used to optimize the structure, and the chessboard lattice phenomenon is not produced. The first order modal damping of the optimized structure can be increased by 83.6 times compared with that before optimization, but the increase of the conventional progressive method is only 72.13%. In order to further verify the optimization effect, the harmonic response analysis of the structure is also carried out. The results show that the structure can obtain better vibration absorption effect when the incremental method of increasing material is used to optimize the structure.
【作者单位】： 南昌航空大学航空制造工程学院;
【基金】：国家自然科学基金项目(51265040)与国家自然科学基金项目(51565039)资助
【分类号】：TB535.1
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1 陶结;粘弹性阻尼减振结构渐进法拓扑动力学优化研究[D];南昌航空大学;2016年
，本文编号：2181746
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